Mean-field phase diagram of a two-band<i>t</i>-<i>J</i>model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>layers

1991 Physical review. B, Condensed matter 33 citations

Abstract

We study the mean-field phase diagram of a two-band t-J model. Upon varying the doping and the values of the parameters, we identify solutions with different magnetic structure without spin long-range order. A first-order transition occurs between a uniform (rotationally-invariant) and a dimerized (non-rotationally-invariant) Fermi-liquid phase. A second transition (of the second order for low doping and of the first order for larger doping) takes place between the dimerized Fermi liquid and an insulating fully dimerized phase. We also find an instability region of negative compressibility where a phase separation occurs. At zero doping we find a Slater--to--charge-transfer-insulator transition where the compressibility vanishes together with the band dispersion. The results agree with those obtained in the J=0 case and in the single-band Hubbard model at the Brinkman-Rice transition.

Keywords

Phase diagramCondensed matter physicsPhysicsPhase transitionFermi liquid theoryMean field theoryCompressibilityDopingInvariant (physics)Phase (matter)Mathematical physicsQuantum mechanicsThermodynamicsSuperconductivity

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Publication Info

Year
1991
Type
article
Volume
43
Issue
10
Pages
8000-8004
Citations
33
Access
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C. Castellani, M. Grilli, Gabriel Kotliar (1991). Mean-field phase diagram of a two-band<i>t</i>-<i>J</i>model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>layers. Physical review. B, Condensed matter , 43 (10) , 8000-8004. https://doi.org/10.1103/physrevb.43.8000

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DOI
10.1103/physrevb.43.8000